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28881230400 = 263652112251
BaseRepresentation
bin11010111001011101…
…001001101001000000
32202112210010112000000
4122321131021221000
5433122043333100
621133505000000
72041463256621
oct327135115100
982483115000
1028881230400
1111280779960
125720323000
132953672059
14157da21a48
15b407d6900
hex6b9749a40

28881230400 has 588 divisors, whose sum is σ = 116288082384. Its totient is φ = 6998400000.

The previous prime is 28881230377. The next prime is 28881230407. The reversal of 28881230400 is 403218882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28881230407) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12829275 + ... + 12831525.

Almost surely, 228881230400 is an apocalyptic number.

28881230400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28881230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58144041192).

28881230400 is an abundant number, since it is smaller than the sum of its proper divisors (87406851984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28881230400 is a wasteful number, since it uses less digits than its factorization.

28881230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 28881230400 in words is "twenty-eight billion, eight hundred eighty-one million, two hundred thirty thousand, four hundred".